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Finding the Fourth Proportional to 30.84, 42.49 and 30

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Solution

The fourth proportional to 30.84, 42.49 and 30 is: 41.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 42.49 = 30 : x
  2. Step 2: Convert to fraction form
    30.84/42.49 = 30/x
  3. Step 3: Cross multiply
    30.84x = 42.49 × 30
  4. Step 4: Simplify right side
    30.84x = 1,274.70
  5. Step 5: Solve for x
    x = 1,274.70/30.84
  6. Step 6: Final answer
    x = 41.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.